10 m. 1 m Re 1 m/s Figure 2 Electricity transmission tower Consider 2D, incompressible, steady flow in a vertical channel at a Reynolds number of 100. This channel flow is shown schematically in the figure below. The figure is not drawn to scale. NEGLECT GRAVITY for the sake of sim plicity. Channel length 1 and width w are 10 m and 1 m, respectively, as shown in the figure. Assume thickness= 1 m in the z-direction. The velocity is constant at the inlet, in the y-direction and equal to 1 m/s. The Reynolds number is defined as pow fl where is the average velocity at any cross-section. Takep - 1 kg/m3 and adjust to get the desired Reynolds number. The absolute pressure at the outlet is 1 atm. Note that the cross-section is a square of 1 m by 1m. Contrast this to the laminar pipe flow considered earlier where the cross-section was circular. When the cross-section is square or rectangular, this type of a flow is referred to as a channel flow. When the cross-section is circular, the corresponding terminology is pipe or tube flow. Taske #2 Now, you need to iterate the solution with different meshing each time. Suggest three different meshes. Discuss the results. Make a verification.

10 m. 1 m Re 1 m/s Figure 2 Electricity transmission tower Consider 2D, incompressible, steady flow in a vertical channel at a Reynolds number of 100. This channel flow is shown schematically in the figure below. The figure is not drawn to scale. NEGLECT GRAVITY for the sake of sim plicity. Channel length 1 and width w are 10 m and 1 m, respectively, as shown in the figure. Assume thickness= 1 m in the z-direction. The velocity is constant at the inlet, in the y-direction and equal to 1 m/s. The Reynolds number is defined as pow fl where is the average velocity at any cross-section. Takep - 1 kg/m3 and adjust to get the desired Reynolds number. The absolute pressure at the outlet is 1 atm. Note that the cross-section is a square of 1 m by 1m. Contrast this to the laminar pipe flow considered earlier where the cross-section was circular. When the cross-section is square or rectangular, this type of a flow is referred to as a channel flow. When the cross-section is circular, the corresponding terminology is pipe or tube flow. Taske #2 Now, you need to iterate the solution with different meshing each time. Suggest three different meshes. Discuss the results. Make a verification.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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